Challenging Questions

Mathematics – Compulsory Part

Learning Unit: Arithmetic and geometric sequences and their summations

Question M0-07-07

Consider a geometric sequence \(T_n=ar^{n-1}\) and the series of \(n\) terms \(S_n=\frac{a(r^n-1)}{r-1}\) where \(r \neq 1\),

1. Find \(T_1T_2T_3\,…\,T_n\) in terms of \(a\), \(r\) and \(n\)
2. Find \(S_1+S_2+S_3+\,…\,+S_n\) in terms of \(a\), \(r\) and \(n\)

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